Finding the Third Proportional to 82,146 and 123,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 123,583.50 = 123,583.50 : x
2. Step 2: Convert to fraction form
   82,146/123,583.50 = 123,583.50/x
3. Step 3: Cross multiply
   82,146x = 123,583.50 × 123,583.50
4. Step 4: Simplify right side
   82,146x = 15,272,881,472.25
5. Step 5: Solve for x
   x = 15,272,881,472.25/82,146
6. Step 6: Final answer
   x = 185,923.62